6533b7d9fe1ef96bd126ccb9

RESEARCH PRODUCT

FLP estimation of semi-parametric models for space-time point processes and diagnostic tools

Giada AdelfioMarcello Chiodi

subject

Statistics and ProbabilityComputer scienceSpace timeR packageProbability and statisticsManagement Monitoring Policy and LawSpace-time point processePoint processSemiparametric modelTerm (time)ETAS modelComputers in Earth ScienceComponent (UML)StatisticsCode (cryptography)Computers in Earth SciencesAlgorithmEtasFLPParametric statistics

description

Abstract The conditional intensity function of a space–time branching model is defined by the sum of two main components: the long-run term intensity and short-run term one. Their simultaneous estimation is a complex issue that usually requires the use of hard computational techniques. This paper deals with a new mixed estimation approach for a particular space–time branching model, the Epidemic Type Aftershock Sequence model. This approach uses a simultaneous estimation of the different model components, alternating a parametric step for estimating the induced component by Maximum Likelihood and a non-parametric estimation step, for the background intensity, by FLP (Forward Predictive Likelihood). Moreover, proper graphical tools for diagnostics have been developed and collected, together with the used implemented code in a R package here introduced, named etasFLP .

10.1016/j.spasta.2015.06.004http://hdl.handle.net/10447/151662